Fixed-points in the cone of traces on a C*-algebra

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Dokumenter

NullPointerException

Nicolas Monod introduced the class of groups with the fixed-point property for cones, characterized by always admitting a nonzero fixed-point when acting (suitably) on proper weakly complete cones. He proved that his class of groups contains the class of groups with subexponential growth and is contained in the class of supramenable groups. In this paper we investigate what Monod’s results say about the existence of invariant traces on (typically nonunital) C*-algebras equipped with an action of a group with the fixed-point property for cones. As an application of these results, we provide results on the existence (and nonexistence) of traces on the (nonuniform) Roe algebra.

OriginalsprogEngelsk
TidsskriftTransactions of the American Mathematical Society
Vol/bind371
Udgave nummer12
Sider (fra-til)8879-8906
Antal sider28
ISSN0002-9947
DOI
StatusUdgivet - 2019

Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk


Ingen data tilgængelig

ID: 226948274